Greatest Common Factor of 75/506, 5367/5843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/506, 5367/5843

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 75/506,5367/5843

Given fractions are 75/506,5367/5843

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 75,5367

Greatest Common Factor of Numerators i.e. GCF of 75,5367 is 3 .

LCM of Denominators means LCM of 506,5843 as per the given fractions.

LCM of 506,5843 is 2956558 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,5367

GCF of Fractions 75/506,5367/5843 is 3/2956558

3 75, 5367
25, 1789

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 75,5367 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,5367 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 5367

List of positive integer factors of 5367 that divides 5367 without a remainder.

1,3,1789,5367

Greatest Common Factor

We found the factors 75,5367 . The biggest common factor number is the GCF number.
So the greatest common factor 75,5367 is 3.

Lets's calculate LCM of 506,5843

Given numbers has no common factors except 1. So, there LCM is their product i.e 2956558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2956558

Therefore, the GCF of Fractions 75/506,5367/5843 is 3/2956558

Least Common Multiple of 506,5843 with GCF Formula

Least Common Multiple of 506,5843 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 506,5843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,5843) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(506,5843) x common factors =1 x 1 = 1

LCM(506,5843) = ( 506 × 5843 ) / 1

LCM(506,5843) = 2956558 / 1

LCM(506,5843) = 2956558


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 75/506, 5367/5843

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 75/506, 5367/5843?

Answer: GCF of Numerators as per given numbers 75/506, 5367/5843 is

GCF of Numerators i.e. for 75,5367 is 3

LCM of denominators i.e. for 506,5843 is 2956558.

Thus, GCF of Fractions is 3/2956558.Finally, GCF of Fractions for 75/506, 5367/5843 is 3/2956558.